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A novel approach to the class of cosmic barotropic fluids in which the speed of sound squared is defined as a function of the Equation of State parameter, so called $c_s^2(w)$ models, is examined. For this class of models, a new analytical…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 Dalibor Perkovic , Hrvoje Stefancic

We examine k-essence models in which the Lagrangian p is a function only of the derivatives of a scalar field phi and does not depend explicity on phi. The evolution of phi for an arbitrary functional form for p can be given in terms of an…

Astrophysics · Physics 2009-11-10 Robert J. Scherrer

Considering the general Lagrangian of k-essence models, we study and classify them through variables connected to the fluid equation of state parameter w_\kappa. This allows to find solutions around which the scalar field describes a…

Astrophysics · Physics 2008-11-26 Daniele Bertacca , Sabino Matarrese , Massimo Pietroni

Dark energy models with non-canonical kinetic energy terms, k-essence, can have dynamical and sound speed properties distinct from canonical scalar fields, quintessence. Concentrating on purely kinetic term Lagrangians, which can be…

Astrophysics · Physics 2008-11-26 Roland de Putter , Eric V. Linder

We determine the k-essence Lagrangian of a relativistic barotropic fluid. The equation of state of the fluid can be specified in different manners depending on whether the pressure is expressed in terms of the energy density (model I), the…

General Relativity and Quantum Cosmology · Physics 2021-09-14 Pierre-Henri Chavanis

In this paper, we perform a dynamical systems study of the purely kinetic k-essence. Although these models have been studied in the past, a full study of the dynamics in the phase space incorporating the stability conditions for theoretical…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Israel Quiros , Tame Gonzalez , Ulises Nucamendi , Roberto De Arcia , Francisco Antonio Horta Rangel

We analyze the implications of having a divergent speed of sound in k-essence cosmological models. We first study a known theory of that kind, for which the Lagrangian density depends linearly on the time derivative of the k-field. We show…

Astrophysics · Physics 2009-11-10 Luis P. Chimento , Ruth Lazkoz

In this paper, we consider three types of k-essence. These k-essence models were presented in the parametric forms. The exact analytical solutions of the corresponding equations of motion are found. It is shown that these k-essence models…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-19 P. Y. Tsyba , I. I. Kulnazarov , K. K. Yerzhanov , R. Myrzakulov

We investigate the physical properties of a purely kinetic k-essence model with an equation of state motivated in superconducting membranes. We compute the equation of state parameter $w$ and discuss its physical evolution via a nonlinear…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Ruben Cordero , Eduardo L. Gonzalez , Alfonso Queijeiro

We restrict purely kinetic k-essence. Assuming the equation of state is a power law of the kinetic energy: $w=w_0X^{\alpha}$, to obtain accelerated phases, we must have $\alpha>0$ as one of necessary conditions, constrained from the…

General Relativity and Quantum Cosmology · Physics 2011-10-13 Rong-Jia Yang , Xiang-Ting Gao

In this paper the Lagrangian density of a purely kinetic k--essence that models the behavior of dark energy described by four parameterized equations of state proposed by Cooray \& Huterer (Astrophys. J. {\bf 513} L95, 1999), Zhang \& Wu…

General Relativity and Quantum Cosmology · Physics 2018-08-15 V. H. Cárdenas , N. Cruz , Sebastián Muñoz , J. R. Villanueva

We explore the possibility that a scalar field with appropriate Lagrangian can mimic a perfect fluid with an affine barotropic equation of state. The latter can be thought of as a generic cosmological dark component evolving as an effective…

Astrophysics · Physics 2008-11-26 Claudia Quercellini , Marco Bruni , Amedeo Balbi

In this short note, we obtain the necessary and sufficient condition for a class of non-canonical single scalar field models to be exactly equivalent to barotropic perfect fluids, under the assumption of an irrotational fluid flow. An…

Cosmology and Nongalactic Astrophysics · Physics 2010-07-06 Frederico Arroja , Misao Sasaki

K-essence is a minimally-coupled scalar field whose Lagrangian density $\mathcal{L}$ is a function of the field value $\phi$ and the kinetic energy $X=\frac{1}{2}\partial_\mu\phi\partial^\mu\phi$. In the thawing scenario, the scalar field…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Zhiqi Huang

In this work, we present a study of a purely kinetic k-essence model, characterized basically by a parameter $\alpha$ in presence of a bulk dissipative term, whose relationship between viscous pressure $\Pi$ and energy density $\rho$ of the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 V. H. Cardenas , N. Cruz , J. R. Villanueva

In this paper, we consider the Universe at the late stage of its evolution and deep inside the cell of uniformity. At these scales, we can consider the Universe to be filled with dust-like matter in the form of discretely distributed…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Mariam Bouhmadi-López , K. Sravan Kumar , João Marto , João Morais , Alexander Zhuk

K-essence has been proposed as a possible means of explaining the coincidence problem of the Universe beginning to accelerate only at the present epoch. We carry out a comprehensive dynamical systems analysis of the k-essence models given…

Astrophysics · Physics 2009-11-07 Michael Malquarti , Edmund J Copeland , Andrew R Liddle

A broad class of dark energy models can be written in the form of k-essence, whose Lagrangian density is a two-variable function of a scalar field $\phi$ and its kinetic energy $X\equiv \frac{1}{2}\partial^\mu\phi \partial_\mu\phi$. In the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-14 Zhiqi Huang

We consider multiple k-essence sources and obtain the conditions their kinetic functions must satisfy so that purely kinetic k-essences lead to models with phantom barrier crossing. After that, we show that polynomial kinetic functions…

Astrophysics · Physics 2009-11-11 Luis P. Chimento , Ruth Lazkoz

Parametrizations of Equation of state parameter as a function of the scale factor or redshift are frequently used in dark energy modeling. The question investigated in this paper is if parametrizations proposed in the literature are…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Dalibor Perkovic , Hrvoje Stefancic
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